Looking at Jiang Zhe with a serious face, the magician couldn't help but be curious, and asked: "Why do you think you can't know today's date, do you know that if you can't know today's date, you can't analyze the front and back of the coin!" ”

I saw Jiang Zhe lift the white quilt, get off the bed, and then sit on the black wooden bench on the side, watching the magician respond: "First answer from the beginning of the rules." ”

[Rule 1: What is the probability that the coin will be heads up?] 】”

"Answer: Suppose I wake up on Monday, then the probability that the coin will be heads up, i.e., the tiger's head, is 50%, or 1/2!"

"Reason: This 1/2 has nothing to do with your perspective, my perspective, or God's perspective, the coin in your hand only has two directions: up and down. No matter how you toss it upwards, it will be 1/2. It is not excluded that when the coin falls in the palm of your hand, there will be a probability that it will stand in the palm of your hand, but the probability of this situation is very small and negligible. ”

Hearing this, the magician pulled up the black wooden bench next to him and sat on it, listening carefully, "Go on." ”

Jiang Zhe said unhurriedly: "Actually, I don't want to talk about [Rule 2]. ”

The magician frowned, "Why?" ”

I saw Jiang Zhe shaking his head helplessly, "Because there is no need to look at the so-called [Rule 1] and [Rule 2]!" ”

The magician looked puzzled, still unable to understand Jiang Zhe's actions, so he asked curiously: "You don't explain the rules one and two, so how do you judge the probability of the coin heads and tails, do you just want to answer the question of what day of the week is today, and then bet on one question and then want to clear the customs?" But the rules say – you have to answer three questions! ”

I saw Jiang Zhe shaking his head slightly, "I can't answer." ”

"Can't answer?" The magician looked stunned and continued to ask, "What does this mean?" ”

"Because there is one more [Sunday] in the rules, and this paradox is a modified paradox." Jiang Zhe responded without thinking: "This original paradox is [Sleeping Beauty Paradox] in our world. ”

As a temporary person, he is the owner of the castle in the world, and has a clear understanding of this paradox, and the paradox of the sixth level is changed, with an additional 'date'.

Once someone falls into the tangled point of the 'date', the ending is bound to starve to death in the sixth level!

The magician nodded, "Yes, it is indeed the 'Sleeping Beauty Paradox'!" ”

Jiang Zhe looked at the magician and explained:

"The paradox is that the scientist tosses a coin and Sleeping Beauty begins to fall asleep on Sunday. If the coin is face up, then scientists will wake up Sleeping Beauty on Monday and not on Tuesday. ”

"If the coin had been tail-up, scientists would have woken up Sleeping Beauty on both Monday and Tuesday."

"After each awakening, the scientist would ask Sleeping Beauty, 'What do you think is the probability that the scientist tossed a coin heads in this experiment you are in?' ”

After Sleeping Beauty answers, she falls asleep again and forgets that she has been awakened and questioned.

"So she won't remember the first time she's been questioned, and she won't know the exact date and time now."

"Now ask, if someone is Sleeping Beauty, what is the probability that when they are awakened, they will answer that the coin is heads up?"

"The time setting of the above original question is: let Sleeping Beauty fall asleep on Sunday while tossing a coin, if face up, then Sleeping Beauty will be woken up on Monday, answer the question of the direction of the coin, and then continue to fall asleep after being administered by the scientist with a drug containing amnesia; If the reverse side is up, then Sleeping Beauty will be woken up on Monday and Tuesday, respectively, answer the question of the direction of the coin, and then take the medicine to fall asleep. ”

"No matter how the time of the paradox increases and how it changes, in the original paradox, there are only two possible answers - 1/2 and 1/3!"

"[One]: 1/2, since the probability of the coin being face up and tails is 1/2, and Sleeping Beauty doesn't actually know any new information about the coin when she wakes up. Even before Sleeping Beauty fell asleep on Sunday, she knew she would be woken up. So the probability of a coin going heads is still 1 in 2! ”

"If you think it's 1/2 people who think you should flip a coin on a coin toss as a benchmark for each experiment, then it's clear that after multiple simulations, the probability of a coin being heads up is always 1/2."

"[2]: 1/3, if face up, Sleeping Beauty will be awakened 1 time; If the reverse side is facing up, Sleeping Beauty will be awakened 2 times. Now that Sleeping Beauty has been awakened, since she can't judge the current time, then she will treat all three awakenings as possible. So the probability of heads up = 1/(1+2) = 1/3. ”

"If you think it's 1/3, they will insist on asking Sleeping Beauty as a perspective and reference point, and ask once after each test, then since the coin is asked twice as often when the coin is face up, the probability of the coin being face up should be 1/3!"

"There is also a [universal solution]!"

"The [universal solution] believes that the difference between 1/2 faction and 1/3 lies in the difference in sample space."

"If you ask about the probability that the coin tossed at the beginning of a scientist's experiment will be heads up, then the probability should be 1/2."

"If the question is about the probability of the coin in the Sleeping Beauty waking experiment that determines the number of awakenings, then the probability should be 1/3 If you accept the explanation of the [universal solution], then you must admit that the probability of the coin being heads up is different depending on the experiment you are in."

"In other words, there is a difference between the observers who are the conditions – the scientist's experiment is for the scientist, and the Sleeping Beauty inquiry experiment is for the Sleeping Beauty."

"Two different angles make up two different answers!"

"[One: Scientist], after transformation, the scientist transforms into you, [Magician]!"

"[Two: Sleeping Beauty], after the character transformation, the sleeping beauty is transformed into me, [Jiang Zhe]!"

"In your eyes, magician, the probability of heads and tails of the coin is 1/2, and it will not change for 10,000 years!"

"In Jiang Zhe's eyes, the probability of heads and tails of the coin will be 1/3!"

"What's more, in the adapted paradox, a [date] has been added to limit my reasoning and thinking!"

"I'm not going to be woken up [on Sunday], so today isn't [Sunday]. I can only guess that today could be any day of Monday, Tuesday, Wednesday, Thursday, Friday, or Saturday based on the loopholes and details of your conversation with me! ”

At this point, Jiang Zhe paused slightly, witnessing the change in the expression on the magician's face.

The magician nodded slightly, appreciating Jiang Zhe's statement, which is also the two mainstream statements in the current world, "That's right, it's the same answer as we think in the present world, so you claim to have explained the paradox, so what is your final answer?" ”

Jiang Zhe said without thinking: "I, I'm afraid, have no answer!" ”

"No answer?" The corners of the magician's mouth were lightly outlined, "Then esteemed His Highness Jiang Zhe, are you ready to accept death?" ”

I saw a sure smile on Jiang Zhe's face, "No!" ”

He has already taken into account [Tip 2: Is what you think is really what you think?] 】

The probability of heads and tails of all coins involved earlier, I'm afraid I won't do it!

On the basis that the whole world knows about the two possibilities of 1/2 and 1/3, the sixth level also proposes this paradox, as long as the Chosen One answers casually with the answer from their own point of view, they can clear the level!

Theoretically - as long as the Chosen One takes his perspective and answers 1/3, he can clear the level!

Theoretically - as long as the Chosen One takes the mage's perspective and answers 1/2, he can clear the level!

However, this is only theoretical, and does not represent reality!

The key is the paradox of the difficulty, does it really meet the sixth level, this is what Jiang Zhe has always doubted!

At this level, the real question must be [what time is today], not 1/2 and 1/3 of the heads and tails of the coin in the paradox!

In other words, the paradoxical generalization of Level 6 uses misleading methods to lure the Chosen One in the wrong direction.

Once the Chosen One answers 1/2 or 1/3, there is only one end: Game Ove

！

If you want to beat the sixth level, you must be against the odds!

It is with sound reasoning, coupled with speculation - today, what day is it!

Jiang Zhe, Leon, Ivan, the three of them must be enemies of probability!

And ordinary people such as Alice, Charlotte, and Monroe can increase the probability of clearing the customs by virtue of their own hunger level.

This level can be described as a bipolar reversal level for the strong and protecting the weak!

After reading all about Jiang Zhe's inner thoughts, all the audience and experts were silent.